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May 6, 2026

Weak Mπ′-groups

Puntos clave

Investigate the properties of weak Mπ′-groups and their relationship with solvability.
Defined weak Mπ′-groups based on character theories.
Proved that weak Mπ′-groups are solvable using group theory principles.
Established that if a group is a weak Mπ′-group, then it must be solvable.

Resumen

Let Formula: see text be a finite Formula: see text-separable group, where Formula: see text is a set of primes. Formula: see text is said to be an Formula: see text-group if every irreducible Formula: see text-partial character of Formula: see text is monomial. We say that Formula: see text is a weak Formula: see text-group if if every monolithic irreducible Formula: see text-partial character of Formula: see text is monomial. We prove in this note that if Formula: see text is a weak Formula: see text-group then Formula: see text is solvable.

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Cite This Study

Chen et al. (Sat,) studied this question.

synapsesocial.com/papers/69fa980604f884e66b531c8a https://doi.org/https://doi.org/10.1142/s0219498827502239

Grupos débiles Mπ′ | Synapse